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The value of sin^(-1)(cos(33pi)/5) is (3...

The value of `sin^(-1)(cos(33pi)/5)` is `(3pi)/5` (b) `-pi/(10)` (c) `pi/(10)` (d) `(7pi)/5`

Text Solution

Verified by Experts

We have to find
`sin^(-1)(cos((33pi)/5))`
`sin^(-1)(cos((33pi)/5))=sin^(-1)(cos((30pi+3pi)/5))`
`=sin^(-1)(cos(6pi+(3pi)/5))`
`sin^(-1)(cos((3pi)/5))`
`=sin^(-1)(sin(((pi)/2)-((3pi))/5))`
`=sin^(-1)(sin((-pi)/10))`
`=-(pi)/10`
...
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Knowledge Check

  • The value of sin^(-1)(cos""(3pi)/(5)) is

    A
    `(pi)/(10)`
    B
    `(3pi)/(5)`
    C
    `-(pi)/(10)`
    D
    `(-3pi)/(5)`

  • Find the value of sin^(-1) ( cos. ( 33pi)/5) .

    A
    `-pi/5`
    B
    `-pi/10`
    C
    `pi/5`
    D
    `pi/10`

  • The value of cos^(-1)("cos"(5pi)/3)+sin^(-1)("cos"(5pi)/3) is:

    A
    `(10pi)/3`
    B
    0
    C
    `pi/2`
    D
    `(5pi)/3`

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